© 2002 by The Society for Integrative and Comparative Biology
Power Requirements of Swimming: Do New Methods Resolve Old Questions?1
1 Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 49109-2121
2 School of Natural Resources and Environment, University of Michigan, Ann Arbor, Michigan 49109-1115
A recurring question in the study of fish biomechanics and energetics is the mechanical power required for tail-swimming at the high speeds seen among aquatic vertebrates. The quest for answers has been driven by conceptual advances in fluid dynamics, starting with ideas on the boundary layer and drag initiated by Prandtl, and in measurement techniques starting with force balances focussing on drag and thrust. Drag (=thrust) from measurements on physical models, carcasses, kinematics as inputs to hydromechanical models, and physiological power sources vary from less than that expected for an equivalent rigid reference to over an order of magnitude greater. Estimates of drag and thrust using recent advances largely made possible by increased computing power have not resolved the discrepancy. Sources of drag and thrust are not separable in axial undulatory self propulsion, are open to interpretation and Froude efficiency is zero. Wakes are not easily interpreted, especially for thrust evaluation. We suggest the best measures of swimming performance are velocity and power consumption for which 2D inviscid simulations can give realistic predictions. Steady swimming power is several times that required for towing an equivalent flat plate at the same speed.
![]()
CiteULike
Connotea
Del.icio.us What's this?
This article has been cited by other articles:
![]() |
I. Borazjani and F. Sotiropoulos On the role of form and kinematics on the hydrodynamics of self-propelled body/caudal fin swimming J. Exp. Biol., January 1, 2010; 213(1): 89 - 107. [Abstract] [Full Text] [PDF] |
||||
![]() |
I. Borazjani and F. Sotiropoulos Numerical investigation of the hydrodynamics of anguilliform swimming in the transitional and inertial flow regimes J. Exp. Biol., February 15, 2009; 212(4): 576 - 592. [Abstract] [Full Text] [PDF] |
||||
![]() |
R. B. Langerhans Predictability of phenotypic differentiation across flow regimes in fishes Integr. Comp. Biol., December 1, 2008; 48(6): 750 - 768. [Abstract] [Full Text] [PDF] |
||||
![]() |
J. Peng and J. O. Dabiri The `upstream wake' of swimming and flying animals and its correlation with propulsive efficiency J. Exp. Biol., August 15, 2008; 211(16): 2669 - 2677. [Abstract] [Full Text] [PDF] |
||||
![]() |
I. Borazjani and F. Sotiropoulos Numerical investigation of the hydrodynamics of carangiform swimming in the transitional and inertial flow regimes J. Exp. Biol., May 15, 2008; 211(10): 1541 - 1558. [Abstract] [Full Text] [PDF] |
||||
![]() |
E. D. Tytell, E. M. Standen, and G. V. Lauder Escaping Flatland: three-dimensional kinematics and hydrodynamics of median fins in fishes J. Exp. Biol., January 15, 2008; 211(2): 187 - 195. [Abstract] [Full Text] [PDF] |
||||
![]() |
J. Peng and J. O. Dabiri An overview of a Lagrangian method for analysis of animal wake dynamics J. Exp. Biol., January 15, 2008; 211(2): 280 - 287. [Abstract] [Full Text] [PDF] |
||||
![]() |
G. J. Lurman, C. H. Bock, and H.-O. Portner An examination of the metabolic processes underpinning critical swimming in Atlantic cod (Gadus morhua L.) using in vivo 31P-NMR spectroscopy J. Exp. Biol., November 1, 2007; 210(21): 3749 - 3756. [Abstract] [Full Text] [PDF] |
||||
![]() |
T. Kojeszewski and F. E. Fish Swimming kinematics of the Florida manatee (Trichechus manatus latirostris): hydrodynamic analysis of an undulatory mammalian swimmer J. Exp. Biol., July 15, 2007; 210(14): 2411 - 2418. [Abstract] [Full Text] [PDF] |
||||
![]() |
B. W. Tobalske and K. P. Dial Aerodynamics of wing-assisted incline running in birds J. Exp. Biol., May 15, 2007; 210(10): 1742 - 1751. [Abstract] [Full Text] [PDF] |
||||
![]() |
J. Peng, J. O. Dabiri, P. G. Madden, and G. V. Lauder Non-invasive measurement of instantaneous forces during aquatic locomotion: a case study of the bluegill sunfish pectoral fin J. Exp. Biol., February 15, 2007; 210(4): 685 - 698. [Abstract] [Full Text] [PDF] |
||||
![]() |
E. D. Tytell Median fin function in bluegill sunfish Lepomis macrochirus: streamwise vortex structure during steady swimming J. Exp. Biol., April 15, 2006; 209(8): 1516 - 1534. [Abstract] [Full Text] [PDF] |
||||
![]() |
M. J. McHenry and G. V. Lauder The mechanical scaling of coasting in zebrafish (Danio rerio) J. Exp. Biol., June 15, 2005; 208(12): 2289 - 2301. [Abstract] [Full Text] [PDF] |
||||
![]() |
R. M. Alexander Models and the scaling of energy costs for locomotion J. Exp. Biol., May 1, 2005; 208(9): 1645 - 1652. [Abstract] [Full Text] [PDF] |
||||
![]() |
M. S. Gordon, J. R. Hove, and I. K. Bartol Dynamics and Energetics of Animal Swimming and Flying: Introduction Integr. Comp. Biol., November 1, 2002; 42(5): 960 - 963. [Full Text] [PDF] |
||||

